Abstract
The iso-space H (R 3 c, whose elements are the polynomials Z l +, l −, s′ m +, m−, m′ (ω ∗ to each of which one can associate (for the lowest values of l + and l − one elementary particle is the space of the QR 3 c representation of the R 3 ∗ group of the complex orthogonal matrices, holomorphic functions of the ω ± parameters, being the generalization to space time of the usual Euler angles. It is shown that in H (R 3 c) a new group W- R 3 is acting, of which the Lie algebra with a representation by the operators S i(ω ∗) = J i(ω +)+J i(ω −) is invariant under the operator P corresponding to the usual parity P in the Minkowski universe; W- R 3 is a representation of the real orthogonal group R 3. After giving the decomposition of H (R 3 c is study the form of the elements in each sub-space of this decomposition and that of the lagrangians, scalar under QR 3 c, and invariant under W- R 3 and the gauge group G. It is shown that these lagrangians lead to a qualitative description of weak interactions which seems, correctly to represent most of the experimental results.
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